Question

Prove that the tangents drawn at the ends of a diameter of a circle are parallel.

Answer 1

Answer:

First, draw a circle and connect two points A and B such that AB becomes the diameter of the circle.

Now, draw two tangents PQ and RS at points A and B respectively.Now, both radii i.e. AO and OP are perpendicular to the tangents.

So, OB is perpendicular to RS and OA perpendicular to PQ

So, ∠OAP = ∠OAQ = ∠OBR = ∠OBS = 90°

From the above figure, angles OBR and OAQ are alternate interior angles.

Also, ∠OBR = ∠OAQ and ∠OBS = ∠OAP (Since they are also alternate interior angles)

So, it can be said that line PQ and the line RS will be parallel to each other. (Hence Proved).

Answer 2

is it's paralel as its drawn at the eds of the diameter wich is straight

you can draw a diagram and prove it

This is your answer...✌

Hope it helps you mate...

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